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Finding the Fourth Proportional to 10,666.96, 14,720.73 and 5,887.24

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Solution

The fourth proportional to 10,666.96, 14,720.73 and 5,887.24 is: 8,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.96 : 14,720.73 = 5,887.24 : x
  2. Step 2: Convert to fraction form
    10,666.96/14,720.73 = 5,887.24/x
  3. Step 3: Cross multiply
    10,666.96x = 14,720.73 × 5,887.24
  4. Step 4: Simplify right side
    10,666.96x = 86,664,470.49
  5. Step 5: Solve for x
    x = 86,664,470.49/10,666.96
  6. Step 6: Final answer
    x = 8,124.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.